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DY: Fachverband Dynamik und Statistische Physik
DY 20: Statistical Physics of Biological Systems I (joint session DY/BP)
DY 20.5: Talk
Tuesday, March 19, 2024, 10:45–11:00, BH-N 334
Relaxation and first passage properties of boundary driven run and tumble particle — •Pritha Dolai1,2 and Arghya Das3 — 1Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany — 2Max-Planck-Zentrum für Physik und Medizin, Erlangen, Germany — 3TIFR Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research, Gopanpally, Hyderabad, 500046, India
We study the spatio-temporal properties of boundary-driven noninteracting Run and tumble particles (RTPs) in one-dimension. We found exact results for the steady state density and current. The spatial and internal degrees of freedom, combined together, possess a symmetry, using which we have analytically obtained the full eigen-spectrum. The eigenvalues are arranged in bands around 0 and −2ω where ω is the tumble rate of the RTP. In the large system size limit, the steady state and dynamical properties are closely approximated by an effective passive-like dynamics with an effective diffusivity. Interestingly, we found that the genuine signatures of activity in the dynamics appear only as subleading correction in system size. Further, there is a crossover from the system size independent relaxation rate to the diffusive relaxation as the system size is increased. Along the lines of equilibrium, we explored the possibility of defining an effective temperature in the single active particle case. It turns out that the effective temperature not only depends on the details of the system parameters, but on the quantities through which it is defined as well as the boundary conditions. We also studied the first passage properties of an RTP in the presence of absorbing boundaries.
Keywords: Run-and-tumble particles; Relaxation dynamics; Steady state distribution; First passage probabilities; Eigenspectrum